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Finding the Third Proportional to 3,051,078 and 4,143,711

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Solution

The third proportional to 3,051,078 and 4,143,711 is: 5,627,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051,078 : 4,143,711 = 4,143,711 : x
  2. Step 2: Convert to fraction form
    3,051,078/4,143,711 = 4,143,711/x
  3. Step 3: Cross multiply
    3,051,078x = 4,143,711 × 4,143,711
  4. Step 4: Simplify right side
    3,051,078x = 17,170,340,851,521
  5. Step 5: Solve for x
    x = 17,170,340,851,521/3,051,078
  6. Step 6: Final answer
    x = 5,627,630.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.